3225183217280 has 384 divisors, whose sum is σ = 8657469259200. Its totient is φ = 1145485393920.

The previous prime is 3225183217219. The next prime is 3225183217283. The reversal of 3225183217280 is 827123815223.

It is not an unprimeable number, because it can be changed into a prime (3225183217283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 903157895 + ... + 903161465.

Almost surely, 2^{3225183217280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225183217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328734629600).

3225183217280 is an abundant number, since it is smaller than the sum of its proper divisors (5432286041920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3225183217280 is a wasteful number, since it uses less digits than its factorization.

3225183217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 3225183217280 in words is "three trillion, two hundred twenty-five billion, one hundred eighty-three million, two hundred seventeen thousand, two hundred eighty".